A Note on Asymptotically Distribution-Free Tests for Subhypotheses in Multiple Linear Regression

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dc.contributor.authorPuri, Madan L.
dc.contributor.authorSen, P. K.
dc.date.accessioned2018-05-03T17:31:36Z
dc.date.available2018-05-03T17:31:36Z
dc.date.issued1973-05
dc.descriptionPublisher's, offprint version
dc.description.abstractThe purpose of this note is to show that asymptotically distribution-free (ADF) rank tests proposed by Koul [Ann. Math. Statist. 41 (1970), 1273-1281] for testing subhypotheses in multiple linear regression when based on symmetric scores are asymptotically totally inefficient and can even be inconsistent for symmetric parent distributions. Also, the condition given in his Theorem 2.4 for a test to be ADF is not necessary.
dc.identifier.citationPuri, M. L. "A note on ADF tests for subhypotheses in multiple linear regression." Annals of Statistics (1973), Volume 1 Issue 3, 553–556. Co-author: P.K. Sen.
dc.identifier.urihttps://hdl.handle.net/2022/22080
dc.language.isoen
dc.publisherThe Annals of Statistics
dc.relation.isversionofhttp://www.jstor.org/stable/2958116
dc.subjectLinear regression
dc.subjectMathematical theorems
dc.titleA Note on Asymptotically Distribution-Free Tests for Subhypotheses in Multiple Linear Regression
dc.typeArticle

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